Highest Common Factor of 5053, 9773 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 5053, 9773 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5053, 9773 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 5053, 9773 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 5053, 9773 is 1.

HCF(5053, 9773) = 1

HCF of 5053, 9773 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 5053, 9773 is 1.

Highest Common Factor of 5053,9773 using Euclid's algorithm

Highest Common Factor of 5053,9773 is 1

Step 1: Since 9773 > 5053, we apply the division lemma to 9773 and 5053, to get

9773 = 5053 x 1 + 4720

Step 2: Since the reminder 5053 ≠ 0, we apply division lemma to 4720 and 5053, to get

5053 = 4720 x 1 + 333

Step 3: We consider the new divisor 4720 and the new remainder 333, and apply the division lemma to get

4720 = 333 x 14 + 58

We consider the new divisor 333 and the new remainder 58,and apply the division lemma to get

333 = 58 x 5 + 43

We consider the new divisor 58 and the new remainder 43,and apply the division lemma to get

58 = 43 x 1 + 15

We consider the new divisor 43 and the new remainder 15,and apply the division lemma to get

43 = 15 x 2 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5053 and 9773 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(43,15) = HCF(58,43) = HCF(333,58) = HCF(4720,333) = HCF(5053,4720) = HCF(9773,5053) .

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Frequently Asked Questions on HCF of 5053, 9773 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 5053, 9773?

Answer: HCF of 5053, 9773 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5053, 9773 using Euclid's Algorithm?

Answer: For arbitrary numbers 5053, 9773 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.